100121001001112 has 32 divisors (see below), whose sum is σ = 231048463850400. Its totient is φ = 39608308088064.

The previous prime is 100121001001069. The next prime is 100121001001199. The reversal of 100121001001112 is 211100100121001.

It is a junction number, because it is equal to n+sod(n) for n = 100121001001093 and 100121001001102.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 68764423037 + ... + 68764424492.

It is an arithmetic number, because the mean of its divisors is an integer number (7220264495325).

Almost surely, 2^{100121001001112} is an apocalyptic number.

It is an amenable number.

100121001001112 is an abundant number, since it is smaller than the sum of its proper divisors (130927462849288).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

100121001001112 is a wasteful number, since it uses less digits than its factorization.

100121001001112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 137528847555 (or 137528847551 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 11.

Adding to 100121001001112 its reverse (211100100121001), we get a palindrome (311221101122113).

The spelling of 100121001001112 in words is "one hundred trillion, one hundred twenty-one billion, one million, one thousand, one hundred twelve".